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Finding the Third Proportional to 125,987 and 195,081

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Solution

The third proportional to 125,987 and 195,081 is: 302,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,987 : 195,081 = 195,081 : x
  2. Step 2: Convert to fraction form
    125,987/195,081 = 195,081/x
  3. Step 3: Cross multiply
    125,987x = 195,081 × 195,081
  4. Step 4: Simplify right side
    125,987x = 38,056,596,561
  5. Step 5: Solve for x
    x = 38,056,596,561/125,987
  6. Step 6: Final answer
    x = 302,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.